Question

if a cone and cylinder share the same radius and height what would be the volume of a cylinder if the volume of the cone is 30 cm

Answer 1

if a cone and cylinder share the same radius and height what would be the volume of a cylinder if the volume of the cone is 30 cm​

step 1

Volume of the cone is equal to

$\begin{gathered} V=\frac{1}{3}\cdot B\cdot h \\ 30=\frac{1}{3}\cdot B\cdot h \\ 90=B\cdot h \end{gathered}$

where

B is the area of the base and h is the height of cone

step 2

the volume of cylinder is equal to

$V=B\cdot h$